{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "zX4Kg8DUTKWO"
   },
   "outputs": [],
   "source": [
    "#生成时间序列数据\n",
    "#@title Licensed under the Apache License, Version 2.0 (the \"License\");\n",
    "# you may not use this file except in compliance with the License.\n",
    "# You may obtain a copy of the License at\n",
    "#\n",
    "# https://www.apache.org/licenses/LICENSE-2.0\n",
    "#\n",
    "# Unless required by applicable law or agreed to in writing, software\n",
    "# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
    "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
    "# See the License for the specific language governing permissions and9\n",
    "# limitations under the License."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "gqWabzlJ63nL"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "sJwA96JU00pW"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_series(time, series):\n",
    "    plt.figure(figsize=(10, 6))\n",
    "    plt.plot(time, series)\n",
    "    plt.xlabel(\"time\")\n",
    "    plt.ylabel(\"value\")\n",
    "    plt.grid(True)\n",
    "    plt.show()\n",
    "def trend(time, slope=0):\n",
    "    return slope * time\n",
    "\n",
    "time = np.arange(4 * 365 + 1)\n",
    "baseline = 10\n",
    "series = trend(time, 0.1)\n",
    "plot_series(time, series)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "89gdEnPY1Niy"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 生成季节性的时间序列\n",
    "def seasonal_pattern(season_time):\n",
    "    return np.where(season_time < 0.4,\n",
    "                    np.cos(season_time * 2 * np.pi),\n",
    "                    1 / np.exp(3 * season_time))\n",
    "\n",
    "def seasonality(time, period, amplitude=1, phase=0):\n",
    "    season_time = ((time + phase) % period) / period\n",
    "    return amplitude * seasonal_pattern(season_time)\n",
    "\n",
    "baseline = 10\n",
    "amplitude = 40\n",
    "series = seasonality(time, period=365, amplitude=amplitude)\n",
    "plot_series(time, series)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "AyqFdaIN1oy5"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "slope = 0.05\n",
    "series = baseline + trend(time, slope) + seasonality(time, period=365, amplitude=amplitude)\n",
    "plot_series(time, series)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "2bRDx8K816N9"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def noise(time, noise_level=1):\n",
    "    return np.random.randn(len(time)) * noise_level\n",
    "noise_level = 15\n",
    "noisy_series = series + noise(time, noise_level)\n",
    "plot_series(time, noisy_series)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "8tUBeSvE77Sw"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "noise_level = 40\n",
    "noisy_series = series + noise(time, noise_level)\n",
    "plot_series(time, noisy_series)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "GICxGswL2aqK"
   },
   "outputs": [],
   "source": [
    "def autocorrelation(time, amplitude):\n",
    "    rho1 = 0.5\n",
    "    rho2 = -0.1\n",
    "    ar = np.random.randn(len(time) + 50)\n",
    "    ar[:50] = 100\n",
    "    for step in range(50, len(time) + 50):\n",
    "        ar[step] += rho1 * ar[step - 50]\n",
    "        ar[step] += rho2 * ar[step - 33]\n",
    "    return ar[50:] * amplitude"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "mCaWIWoDGVCL"
   },
   "outputs": [],
   "source": [
    "def autocorrelation(time, amplitude):\n",
    "    rho = 0.8\n",
    "    ar = np.random.randn(len(time) + 1)\n",
    "    for step in range(1, len(time) + 1):\n",
    "        ar[step] += rho * ar[step - 1]\n",
    "    return ar[1:] * amplitude"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "MVM204K66bnC"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "series = autocorrelation(time, 10)\n",
    "plot_series(time[:200], series[:200])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "M8C6ZBUp6jmZ"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "series = noise(time)\n",
    "plot_series(time[:200], series[:200])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "9MZ2sCmM8XPU"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "series = autocorrelation(time, 10) + trend(time, 2)\n",
    "plot_series(time[:200], series[:200])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "hqx5et9Bzp5e"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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f2YnRPHv7ND77xGqeLK/ixun5OLTmf5sOs3BMJuNye/ZjMJFFDEIIIYSbzDY7kQOQgQO46bwC3r1/HkVpsdy/aBPtZlvfL/KQyeogLiqMv35hCvFRYTz03u5ej/vDB3vYdriF6UUp3Dm3iAemRvLuN+byi2vG8eo9szAoxbjcBH54+WgMBsX/u2YczR0W/vDBnu5z/H1tNYWpMcwtTvNZ+5VSfK2smMPHT/DWliMs2dnA0Q4LN0wv8Nk1gpUEcEII4WObDh7jM39dRZvJetrjrWd8L0KP2eogagAycF2GpcXy3UtGYbVrPjnQY/OhfjPb7ESFGUmLi+TL84bzcUUTnx48dtoxh4+f4IOd9dwys4BHbpjEDy4bzYT0sO4aatOLUij/Thn//ers7tIc43ITuX1WES+tqeaFVfvZXdfKJweOccuMAp8PZV4wKoORmfE8UV7FP9cfJDcp2qdBYrCSAE4IIXzsv5/W8OnB46yqPLlV87p9zUz8+Qf87M0dWO3+qyEm/MtZB25gPzqnFiYTYTSwpqq574M9ZLae7M8XZhaSHBPOX5ZWnHbM39dWo7XunmPWm3CjocfQ8oNXjGbhmEx+9tZOHnh1CxFhBj4/Nd/nfTAYFF8tG0FFQzsrK5v4/LQ8jINsvltvJIATQggf+7iiCYA1VU3dj723vQ4FvLD6ADc9tZaGVlOAWie8ZXdoLHbHgNSBO1V0hJHJBUmsPuX95Csmm7078IqNDOOuecNZvqeRbTUtzuetdhatP8hFozPJS/Zs5WiY0cBfbprMnOJUdta2cuWEbJJj/VMS5coJ2eSnRKMUfH6a74PEYCQBnBBC+FB1cwfVzZ0YFKw6JWOyYm8j55em8+ebJrPjSCvfWLQpgK0U3rC4VmwOxCKGM80ekcaOI60c77T49Lxmq+O0VbW3zSokISqMh9/fzcHmTt7ccoRjnVbumFPk1fmjwo08des07l0wggcWlvqo1T2FGQ08/JkJ/PTKMeQmRfvtOsFEAjghhPChruzb9dPyqWxop6HVxMHmTvY1dTC/NJ2rJ+Zw17xhfHLgmMyJCzFmmx1gQMqInGl2cSpaw9p9vp0HZ7advqo2Piqcr19QzMrKJs7/3XJ+8L9tjMyMZ9bwVK+vERsZxncuGeVxBs9Ts4vTuGPOML9eI5hIACeEEP2kte7++uOKRvKSo7llhnO+0OqqZj6qaATo3sB7TnEadodmrR/mNAn/MQcwAzcxL4nocONpw/K+YLL23Brs7vNH8OG3zucX14zl8vHZ/PCK0SG96ftgJXXghBCiH/67sYY/L6vglS/PJDM+ktWVzVw5MYcxOQkkRoezuqqJox1W8lOiGZbm3D5oSkEy0eFGVlY2cfHYrAD3QLjLZHVm4AZ6DhxARJiB6cNSWO3joN9sc/S6qXtJZjwlmfHcNqvIp9cTviMZOCGE8JLWmic/qqK6uZNv/HMTG6qP0Wa2cX5JGkaDYubwFD6uaGJ1VRPzS9O7sxgRYQZmDE9hZaXvJ6UL/+nKwPUW8AyE2SNSqWhop6HNdwtgzLaeGTgRGuSuCSGEl/a3OKhoaOfCURlsrD7Gt17djEE5J5yDc6i0tsVEp8XO/NKM0147tziNfY0dHDl+IhBNF14wW7uGUAPz0Tl7hHMemq/KiWitMVkHflWt8A25a0II4aUVh21Ehxt59MZJ3HRePrUtJibmJ3Vvlt0VyIUbFbNGnD4JfG6J8znJwoWOrkUMA10HrsvYnESiw41sOdTik/NZXPUIIwOUURT9IwGcEEJ44YTFzrpaG5ePzyY+KpyfXDmWeSVp3HTKFj4j0mPJSohielEKcZGnTzkemRlPWlwkKyskgAsVJmvgFjEAGA2KwtQYDh7t8Mn5Ti7KkFAgFMkiBiGE8MJ722s5YYPrp+UBzmKrL39pxmnHKKV4/s7pPYK3rufmFqfycUUTDof2+fZCwvdOLSPSGaA25KfEcKDJNwFc96IMycCFJAm7hRDCC//acIjMGMV5w1LOedzo7ATyU3qvfzW3JJ3mDgu76lr90UThY4EsI9KlMCWGg0c7cTh03wf3IdBz+kT/yF0TQggPmW121u47yvSssH7Vx+qalL7Ox8VZhX8EsoxIl8LUGMw2B43t5n6fK9CrakX/SAAnhBAeMlmcH3wJEf0b9sxJiiY3KZpPDkgAFwqCIeApSHXWEqxu7v8gbjAEpMJ7cteEEMJDXXOhfLEY8bxhKXxy4NhpuzmI4GQOgoCnwDUcX93c/3lwsoghtMldE0IID3WtRozwQSJmelEKTe1mDvggoyL8qzvgCVAZEYDcpGgMCg4e7f/75eSiDBlCDUUSwAkhhIdOZuD6v3J0elEyAJ/sl2HUYBfoMiLg3MUjJynaNwGcLGIIaXLXhBDCQ10f5L5IXBRnxJEcE856mQcX9Mw2O+FGhTHAJV8KU2N8MgeuuzBxAANS4T0J4IQQwkO+zMAppZhWlMIGCeCCntnmCIpgp8BVSqS/Ti7KkFAgFMldE0IID/lyDhw4h1EPNHf6dJNy4XvBsvF7QUosRzsstJms/TqPFPINbYF/JwohRIjx5SpUcC5kAPhk/zHfnFD4hcnqCIoJ/4WpXStR+5eFk1WooU3umhBCeKg7A+ejuVDjchOJCjdIPbgg5xxCDfzHZlcpkUP9HEbtWsQQDEGp8Fzg34lCCBFiujNwPvrcCzcamJyfzHpZiRrUzFY7EcEQwHVl4PobwNkCX9dOeE/umhBCeKh7FaoPf4POLUljZ20r9a0yDy5YmW2OoJgvlhAVTnJMeL+HUE1WBwYFYQFeVSu8IwGcEEJ4yJerULtcODoDgGW7G3x2TuFbJqudqCDJVhWkxnLwaP92YzDb7ESFG/u1n68InOB4JwohRAjx9SpUgJGZ8eQmRbN0V73vTip8KlgycACFKf2vBRcsc/qEd+TOCSGEh7oycL787FNKcdHoDFZWNnWXdxDBJZgCnoKUGI4cP9Gv94rJag+KunbCO8HxThRCiBBisjqICDNg8PHQ04WjMzFZHayqbPLpeYVvmK32oFmxObs4FYeGZ1fu9/oczoyihAGhSu6cEEJ4yF8FXWcMTyE2wsiSXTIPLhgFUwZu9og0LhmbyWPLKjl8/IRX5zBbHURJBi5kBcc7UQghQoi/CrpGhhk5vzSdZbvr0Vr7/Pyif4JlJ4YuP75yDA6t+fU7u7x6vclmlwxcCJM7J4QQHvLnB/mFozOpbzWz/XCrX84vvGe2BsdeqF3ykmO4d0Ex72yr9WrY3dkfCQNCldw5IYTwkNmPWypdMCqDcKNi0ScH/XJ+4T2TzR50G7/fff5w0uIiWfTJIY9f21VGRISm4HonCiFECPBnBi4lNoLrp+Xzrw2HqDnWvzIRwnfsDo3VroMqAwfObbDG5SZQ1dDu8WtNkoELaXLnhBDCQ/7e1PzeBcUoFI8vr/LbNYRnLF0bvwdZBg5geFoc+5racTg8mzfp/EMkuAJS4b7geycKIUSQ8/dk9pykaG6Yns+/Nxzq94blwje6av8Fy04MpxqREYvJ6qDWw23YpIxIaJM7J4QQHvJ3Bg7gawtGYFCKv5ZX+vU6AO9vr6O53ez364SyE66CucGyE8OphqfFAXg8jGoKskUZwjMSwAkhhIcGopxEdmI0n52ax383HsZqd/jtOh1mG1/5+0YefH27364xGHTtUVuSERfglvQ0IiMWgH2NngVwwVYWRXgmYHdOKRWllFqvlNqilNqhlPq56/FhSql1SqkKpdSrSqkI1+ORru8rXc8XBartQoihbSAycADTi5Kx2B1UN/dv0/Jz6bQ4M0vvba9jy6HjfrtOKHM4NM+t3M/43ESmFiYHujk9pMdFEh8ZRlWjZ+8Ts21g3sfCPwIZepuBC7TWE4FJwKVKqZnAw8AjWusS4BjwJdfxXwKOaa2LgUdcxwkhxIBz7iHp/1+fJRnxAFTUe77C0F1dc7sAfrd4j9+uE8o+2ttIVWMHX5o7DOXj7dN8QSnF8AznQgZ3ORwaSxDtLCE8F7A7p5263m3hrn8auAD4j+vxF4FrXV9f4/oe1/MXqmD8SRJCDHoDlbkozohDKdjrxwDOZHUOz07MT2JlZZPsw9qLZ1buIyshisvHZwe6KWc1Ii2WfR5k4Cz24F1VK9wT0DunlDIqpTYDDcCHQBVwXGttcx1SA+S6vs4FDgG4nm8BUge2xUIIMXAZuOgII/nJMVQ0tPntGl0ZuC/NHUZOYhS/XbzH6228GtsG30KIXbWtrKps5rbZhUQEcbZqREYctS0mOsy2vg/GWYwakEUMISwskBfXWtuBSUqpJOA1YHRvh7n+21u2rcdvGaXU3cDdAJmZmZSXl/umsefQ3t4+INcJVkO5/0O57zA0+6+1xmxzUHf4EO3ZFr/3P9loZvO+Or9dp/KYM4A7sHcnF+VqXtp5nBfeXMawxJ4f7B1WTbgBIoyqx73f12Ln/60xcc/ESGZmB/Sjxaee324mwggFlkOUl9d0Px5s7/3Oemfg9u/3P6Kol3t3pmMmZwB3cF8l5bZqj68XbP0faMHQ/6D4KdNaH1dKlQMzgSSlVJgry5YHHHEdVgPkAzVKqTAgETjay7meAp4CmDZtmi4rK/N7+8vLyxmI6wSrodz/odx3GJr9N1ntsPh9SouHE6dq/N7/tSd28+zKfcyddz5hRt9ngCIqm2DdOqZPmcyYnAQW/WoJB8jkzrJxPY5d+MePiIkM49W7Z7J21cen9X35G9vRVLP4cBj/d71/2jrQtNZ8f/UyLhqTxpUXTz3tuWB772fXtfH45hUkF46ibFJun8cfbO6E8uWMHzuasql5Hl8v2Po/0IKh/4FchZruyryhlIoGLgJ2AcuBz7kOux14w/X1m67vcT2/THub5xdCCC+ZXRX5B2r1XklGHFa75kCzfwr6nuyPgcTocBaOyeTNLUe6dx7ocuhoJxUN7Ww5dJyfv7XjtOdsdgdvb60lNyma/U0dvLbpsF/aOtD2NXVQ12piTnFaoJvSp8LUGAwKt1eidg2dyyKG0BXIO5cNLFdKbQU+AT7UWr8NfA94QClViXOO27Ou458FUl2PPwB8PwBtFkIMcWbrwH7wlWY6V6JW+mkenMnVn66A9HNT8jjWaWX5nobTjltd5VzccPn4LP65/hDlh6zdz62qaqa5w8KPrxzDuNwE/ryswq+16wZK14KOuSEQwEWFG8lLjqHKzVpwXYtXpIxI6ArkKtStWuvJWusJWutxWutfuB7fp7U+T2tdrLX+vNba7Hrc5Pq+2PX8vkC1XQgxdA10Bq6rSKu/VqKazsjEzCtJIy0ukv99WnPacasqm0mPj+TPN05mXkkaf99pYWP1MQDe3HyE+KgwFoxK54GFpRw6eoL/bjz99Z6we7inp7+srGgiLzmagpSYQDfFLSPS3V+JKhm40Cd3TgghPGAa4AxcTEQY+SnRVHi4TZK7zGdkYsKMBq6dlMOy3Q0c67AAzrlgq6uamT0ilTCjgT/fOJmUaMU9L2+gqrGdxTvquGxcFpFhRhaMzGBifhJ/WVbZYxjWHSsrmpj48w/YU+e/lbfusNkdrNnXzNzitKCs/dab4elx7HdzU/uuP0QkgAtdcueEEMIDA52BA2dB34p6/w6hnvpB/pkpeVjtmtc3O+ey7a1vp6ndzJwRzqHE5NgIvjklCrPNwXWPr6LdbOMa18R5pRQPLCzl8PETvLrhkMftWbe/mXazjV+8vcPrcibu+Of6g7y99chZn99+pJU2ky0k5r91GZEeh8nq4PDxE30e25WBkyHU0CUBnBBCeGCgM3AAJZlx7GvswOaHeWW9BaRjchKYXpTMY8sqaTlh7Z4LNrv4ZOnNnDgDj988hQ6LnfT4SGYOP/nc+SVpTC1M5vFlld3/v9y1p64NpZxDth/urO9P186qzWTlJ29s5+uvbOK37+/uNWPV3ecRoVNudFJ+EgBrqpr7PLZrDpwU8g1dcueEEMIDgcrAWewOqo/6fiVq9wf5GQHpT68ay7FOC498uJfVVU0UpcaQl3z6XLDzS9N59vZpPHrDJIyGk8OMSim+vbCUulYTi9Yf9Kg9e+vbuGh0JiUZcfzq3V2nbfXliVaTla01ve/tumJvE1a7Zk5xKn/bxV8LAAAgAElEQVQtr+K+RZt6LLpYWdHEmOwEUuMivbp+IIzOjiczIZLyvQ19HntyDpxk4EKVBHBCCOGBQGTgSjPjAPwyjGqy2QkzqB5128blJnLLjEJeWnOAlZVNzD7LUGLZyIxehxlnjUhlxrAUHi+vcjsLd8Jip/poJ2NzEvjxlWOobu7k9ufWc/+iTfzotW3Ut5rcOo/Wmm8u2sxnn1jdPY/vVB/urCM5JpyXvjiD7106ine21vLympPFbE9Y7GysPsac4tDJvoEzcJ5fms7HFU19ZmtPzn2UMCBUyZ0TQggPBCIDNyLdGcDtqvV9AGe2nn1f129fXEpidDgmq6N7/pu7uubCNbaZ+darmzlh6TuIq2hoQ2sYmRnP+aXp3DV3GHUtJrYcOs5/NtZw/d/WuDW/a/GOOpbtbsBq1z2GYa12B8t2N3DBqEyMBsVX5g9nXkkajy7Zy1FXsPfUin1Y7A7KRmZ41OdgUDYygzaTjU8P9p597HLyDxHJwIUqCeCEEMIDgcjAxUaGMT430S8bzZts9rNmYZJiIvjJVWNIi4vwKhs1Y3gqD14xmvd31HHjU2toaDt3Bq1r5enILGftuwevHEP5dxZQ/p0F/PPumRztsHDD39Zw6BxDye1mGz97cyejsxPIT4nm3e21pz2/4cAxWk02Fo5xBmdKKX585Rg6LHYeXbKXFXsbeXTpXj4zOTek5r91mVuShtGgKN9z7mFUWYUa+uTOCSGEBwKRgQMoG5nOpweP0dJp7ftgD5itjnNmYa6bnMcnP7qIpJgIr85/17zh/O0LU9lb3871T64555y2vfVtRIQZKEyN7fHclIJkXrlrJu1mG9f9dVV3YeEzPfLhXurbTPz6unFcNi6bVZVNtJw4+f9sya56IowG5pWkdz9WmhnPLTMK+Me6g9z3z02UZsTzq+vGh0z5kFMlRIUztTCZ5Xsaz3mcBHChT+6cEEJ4IBAZOHAGcA4NH1ee+4PZUyabvc+ViP0NZC4em8UTX5jCgeZOFq0/e2mRPfXtlGTEnbYg4lTj8xL5z1dmkRgdzheeWceTH1WdtoL0n+sP8tyq/dx8XgGTC5K5bFwWVrtm6S7nMKrWmiW76pldnEps5OlbgX/zolJiI4zYHZonvjCF6IjQHVosG5nOrtrWc84ZNFl7n/soQofcOSGE8ECgMnCT8pNJjA6nvI/MiqfMVjtRAzAPan5pOucNS+Gx5ZVnnQ+3t66Nka6tw86mOCOeN74+l8vGZfPQe7u58i8rWb67gSfKq/jB/7YxvzSdB68YA8DEvCSyE6N4d1sdABUN7VQ3d7JwTGaP86bERvCPu2byr3tmMdw15zBUlZU6h4c/Osd7xWxzSPYtxMndE0IIDwQqA2c0KM4vTad8T6NblfbdZbY5BqQWWFdpkcY2M39fW43DoXnm433c9eIGTljstHRaqWs1UZp17gAOIC4yjMdunsyjN0yi3Wzjzhc+4eH3d3P1xByeunVad/bMYFBcOi6LFRWNfFzRyJdf2kCE0cBFo3sGcODM8I3JSfBpvwPBnXIiZpudSCniG9LC+j5ECCFEF7PNQYTRgOEsw3z+VFaazltbjrCztpVxuYk+OadpgDJw4FzUMK8kjSc+quKjvY2sdC3KePrjfd2FgEe6EcCBMyC8dnIul4/P5j8bazh+wsJXzh/R475cNi6b51cd4NZn15ObFM3LXzqPzIQo33YsyCilKCvN4N1ttVjtDsJ7GSY1WR1ESQYupMndE0IID5is9oANPZ1f6px439cKQ0+YrAOTgevywMJSjnZY2Fh9jN98ZjyXjs3iifIqPq5wDvf1NYR6pogwAzfPKOBrZcW9BtVTC5M5ryiFz03N471vzmPG8NBbWeqNspHptJltfFp9rNfnnZlXycCFMsnACSGEBwL5wZceH8mEvETK9zTy9QtKfHJOs23gMnAAkwuSefq2aZRkxFGUFsvsEaks3V3PE+VVxEeGkZ3o2+yY0aD411dm+fScoWBOSRphBkX53sZeg1ZzAP8QEb4hd08IITwQyAwcOIdRPz147LTSGP1hsjoGvBr/wjGZFKU5S4UUpsZyx+wibA5NaVZ8SJbuCEYJUeFMKUw+66IXk2TgQp4EcEII4QGzbeADnlPNHJGKQ3PWoTFPmW32gFfj//oFJaTFRXRvxi58Y8HIDHbVtlLX0rOciGTgQp/cPSGE8IDzgy9wAc/k/GTCjYr1B4765HyByMCdKTE6nKUPlPHdS0cGtB2DTdlI55zJj3pZjSplREKf3D0hhPBAoDNw0RFGxuUm8sl+XwVw9gGvadebxJjwgGcCB5tRWfFkJUT1OowaLPddeE8COCGE8IApwBk4gOlFKWytaemuSectrbVkYgYxpRTzS9NZWdGE1e447TmL3PeQJ3dPCCE8EAxDjtOLUrDYHWw5dLxf5+neD1MyMYPWglHOciJnZuGcgbvc91AmAZwQXlpT1czvPjnB8t0NaO27yvgiuAXDpP9phckAbOjnQgazVTY0H+wuGJXJsLRYfvPuLiy2k1k45xCq3PdQJndPCC+t2dfMjmYHd77wCbc8s46DzZ2BbpIYAMGQgUuOjaA0M471/ZwHZ7Y5h2BlLtTgFRFm4CdXjWFfUwfPrdrf/bhk4EKfBHBCeMlicxCm4OdXj2VrTQu/fndXoJskBkAwZODAOYz6afUx7P3YF9XkysBJADe4LRiZwUWjM/jL0grqW50lRZx7oUoIEMrk7gnhJbPNTrgRbp9dxOem5rF8TwPtZlugmyX8LBgycADnDUuhzWxjV22r1+foysDJEOrg9+Mrx2B1aH75zi7sDo3VruW+hzi5e0J4yWxzEO7ae/GKCdmYbQ6W7qoPcKuEvzkzF4HPWE0vSgHgk37Ug5MM3NBRmBrLvWXFvLXlCP/ecAiQ+x7qJIATwktmq4OuRMzUgmSyEqJ4a0ttYBsl/Epr7czABUHmIicpmvyUaFZVNnt9DlP3HLjA90f4370LRjC1MJmfvrkDkMxrqJO7J4SXuoZQAQwGxeXjs1mxt5FWk2/2qBTBx2IPrrIbF4zMYGVlo9f14E6uQg2O/gj/CjMaePSGSUQYnR/9ct9DmwRwQnjp1CFUgCsnZmOxO/hwhwyjDlamICu7cdGYTExWB6sqm7x6fVfgJxm4oSM/JYZfXjcOgOSY8AC3RvSH/NQK4SVnAHfy+8n5SeQmRfPONs+GUWuOdbKtpsXHrRP+0D3pP0gycDOGpRIXGcYSL+demroXMQRHf8TAuGZSLu/dP4+LxmQGuimiHySAE8JLZqv9tABOKcUVE7JZvqeB6b9awoxfL+GXb+88Z5FfrTV3v7SRr/x94wC0WPRX15BjMMyBA2eNr/kj01myqwGHF+VEuvsjGbghZ3R2AuFGue+hLCzQDRAiVJltDsKN6rTH7pxThMlqx2p30Nhm5pmV+7E5ND+9agxKqR7nWLyjnp2uMhCyuXTwC7YMHMDC0Zm8s7WWbYdbmJif5NFrTVLIV4iQJQGcEF4y2xxEnfEHbHZiNL+4xjm/RGtnzaVnV+4nOsLIdy8ZeVoQ53BoHl2yF6VAazh4tJPSzPiB7ILwkCnIMnAAZSPTMRoUS3bVexzAyVZaQoQu+akVwktm2+lDqGdSSvHgFaO5eUYBT5RXsWbf6eUeFu+oY3ddG7fNLASgWrbiCnrBmIFLiolgWmEyH+70fB6cZOCECF0SwAnhJWcduJ7DoqdSSvGTK8eQGB3OovWHuh93ODR/WlrB8PRY7ruwBIDq5g6/tlf0XzBm4AAWjslkd10bO494titDsK2qFUK4T35qhfCScw5c38dFhRu5dlIO72+v41iHBYC3th5hd10b919YQmpsBPFRYZKBCwHBmIED+OyUPFJjI/jha9s82hvVbLMTEWbodX6mECK4SQAnhJf6GkI91Q3TC7DYHby++TBmm53fLd7D6OwErpqQg1KKwtQYqo9KABfsTEG6ajM5NoKfXDWGzYeO88LqA26/zhwku0oIITwnP7lCeOnMQr7nMiYngQl5ibz6ySFeXlNNzbET/PDyURhcry9MjeWgDKEGPXMQ1027emIOF4zK4PeL93DIzT8GTNbg2NdVCOE5CeCE8ILWGssZhXz7csP0fHbXtfH7D/YwrySNeSXp3c8VpsRQc+wENtdWTSI4BWsGDpzzLX957TgMCv744V63XmO2OYKyL0KIvslPrhBe6NoT05PPvqsm5hAVbsBsc/D9y0ad9lxhagw2h+bIcZMvmyl8zGwN3gwcODe4nz4shYqGNreON1ntRAVpX4QQ5yZ14ITwgtnmCuCM7k/+TogK5/4LSzlhtTM2J/G05wpSYgGoPtpBQWqM7xoqfMpkC94MXJeshCi2H3ZvNarZ5iAyiPsihDg7CeCE8EJXAVRPP/u+Wjai18eL0pxBW3VzJ/NK+tW0QWH74RZiIowMT48LdFNOc7LwbfBmrTITomjuMGOxOYjoY4GCZOCECF3yp5cQXuiazO6r5EVmfBQRYQapBQe0nLBy89NruefljV7t7+lPJpudcKPC6ObilUDIToxCa2ho63s4XrZvEyJ0SQZOCC90D6H66IPcYFAUpMRILTjgmY/30Wqy0Wpq56O9jSwYlTHgbbDZHby++Qjr9zdzvNNKywkrYUZFdXNnUGffADITowCobzWRl3zu4XizzUFyjPwdL0Qo6jOAU0plAr8GcrTWlymlxgCztNbP+r11QgSp7iFUH36WF6XGcHCI14Jrbjfz3Mr9XDI2k601LfxtRZVPArhOi41X1h1ka00Lu2pbuXlGAXfOGdbjOK01b2w+wqNL9nKguZO0uAjS4iJJiArHbHWQFBN+2urhYJSV4Azg6lrMfR4rGTghQpc7GbgXgOeBH7m+3wu8CkgAJ4YsXw+hgnMhw6rKZrTWQ7Yy/pMfVXHCauc7l4xi+e4GfvXuLrbWHGdCnmebtJ/pV+/s4h/rDpKbFI3F7uDF1Qd6DeCW7mrgm69uZnR2Ak/fNo2LRmeE3L3oDuBa+x5ClUUMQoQud35y07TW/wIcAFprG2Dv74WVUvlKqeVKqV1KqR1Kqftdj6copT5USlW4/pvselwppf6slKpUSm1VSk3pbxuE8Javh1DBWUrkhNVOY1vfmZNQ19JppXxPA1qfnONW23KCl9ZUc93kPIoz4rjxvHziI8N4+uP9/brWoaOd/GvDIW6dWciq71/AfRcUc6C5k32N7T2OfWblPnKTonnr63NYOCYz5II3gKSYcCLDDNS7EcCZrI6gHxIWQvTOnQCuQymVCmgApdRMoMUH17YB39ZajwZmAve6hme/DyzVWpcAS13fA1wGlLj+3Q084YM2COGVkwGc787ZVT4kEFtqVTW289v3d/PBjjpaTVa/Xsvh0HztlY3c8fwn/G3FPgA6zDbueXkjSsH9FzqX4cZHhXPTjALe3VbLkeMnvL7eY8sqUUpx74JiABaMdA7JLtvdcNpxO460sHbfUW6fXUiYMXSzUkopshKjqG1xIwNntQd1SRQhxNm585P7APAmMEIptQp4CbivvxfWWtdqrT91fd0G7AJygWuAF12HvQhc6/r6GuAl7bQWSFJKZfe3HUJ4o6ugq2/nwDlrwe1vHPiVqK9vOsxfy6u4++WNTPr5Bzy1osrt1za0mrj+yTXsONL733Xr9jXzyrqD3Zusv7TmAKsqmynNjOOh93bzz/UHufeVT9l+uIW/3DTltDp4n52Sh92hWVPV7FW/DjR18J9Pa7hlRgFZrsn9+SkxlGbG9Qjgnl91gJgIIzdMK/DqWsEkMyGKencCOJtk4IQIVerUIYyzHqRUGDASUMAerbVP/0RXShUBK4BxwEGtddIpzx3TWicrpd4GHtJar3Q9vhT4ntZ6wxnnuhtnho7MzMypixYt8mVTe9Xe3k5cXHDVqxpIQ7H/62ptPLHFzINTNMUZvum7Q2vuX9bJuDQj90yM8sk53bVot4WlB618e1oU7+23srXRzg9nRFGSfO4P9/b2dj5qiODfe63kxSl+NjuaMNewctMJB4t2W9hQ7wx2S5MNXD0inD99amZ0qpH7Jkfyp41mtjc7n799TAQLCsJPO79Da766pJO5uWHcOibS4379bauJjXV2fjs/mqTIk3+v/muPhcUHrDx2YQzRYYoWs+bb5Z3Mz/fsOsH63n9yi4mq4w5+N//sq1AdWvPFxZ1cWxzOtcURHl8jWPs+UKT/0n9/9H/BggUbtdbT3DnWnVWot53x0BSlFFrrl7xqXc/zxwH/Bb6ptW49x5yT3p7oEX1qrZ8CngKYNm2aLisr80Uzz6m8vJyBuE6wGor9b9pYA1u2kBgX49O+L2zczNJdDcydd/6ADuMtb9lOTP0RvvKZC7nFZOXyP3/MSxXw7jfmEB8VftbXlZeXs73KSGqsoqbdwjZ7Lt+6oJS3thzhx0u3otE8sLCUnKRofvbmDn6/wUxSTDjPfPl8MhKimD3Hxjdf3czUwmS+Mr/3IscT96yh2e6grGyO2/3RWvPbxXtYc6SKr8wfwbWXnL51WUzhUd792xp05ijKxmfzxw/2YNOV/PDzcxjhQfHgYH3vr+7cxaerDzB//vyzzuPrtNhg8WJGlYyg7Cz/788lWPs+UKT/0v9A99+dVajTT/k6CrgQ+BTnUGq/KKXCcQZv/9Ba/8/1cL1SKltrXesaIu0a56gB8k95eR5wpL9tEMIb/liFCnDR6Ez+9+lhPj14nPOGpfj25OfgHEpzdiY+KpxHb5jM9X9bw0/e2MEjN0w66+uOtDvYVdvBT64cw9aa4zy+vJK6FhOvbjjEtMJk/nTTZHKTogGYMSyFh97fzeen5pHhWikZGxnG07ed+4/NCXmJvLS2GqvdQbgbQa3F5uB7/93Ka5sOc/OMAv7v4tIex0wpSCIxOpxluxtoaDXxl+WVXDI206PgLZhlJURhsTk43mklObb37NrJXSVkDpwQoajPn1yt9X2n/PsyMBnwPN9+BuX8s/BZYJfW+o+nPPUmcLvr69uBN055/DbXatSZQIvWura/7RDCGxYv9kJ1x7ySNMKNiqW76n163r6cWU5iamEy95aN4LVNh886tw2cQ8kGBVdOyOanV40lKSacVzcc4uYZBbzy5ZndwRs45549fvMUykZ6VtdtQn4SFpuDPXXubdD+0Hu7eW3TYf7v4lJ+de24XjOZYUYD80vTeX3TYX721k4uGp15zkA11HTN9zvXQgaT648QqQMnRGjy5k+vTpwrQftrDnArcIFSarPr3+XAQ8BCpVQFsND1PcC7wD6gEnga+JoP2iCEV/yxChWc2a8Zw1JZesYEe3+z2BxEnBHo3DlnGOFGxeubDvf6Gq01a2ttzByeSkZCFMmxETx/x3k8+YUp/Pq68X3uw+muiXmJAGyt6Xvx+8HmTl5ee4Abp+fz9QtKzlkG5LJxWdgcmjtmF/HkF6YSEzF4NqbJTDi5G8PZdGXgZBWqEKHJnTlwb3FyrpkBGAP8q78Xdi1GONtv1wt7OV4D9/b3ukL4QteHnz9Gny4YlcEv3t5JdXMHha6Vqf5mttl7rEZMjo2gbGQGb2w+wvcvG91j/8/th1up79R8a2JO92Pj8xIZ7wq4fKUgJYbE6HC21hzn5hnnXiH6+w/2YDQovrWw57DpmS4dl8WK7yw4bdXrYNGVgTtXMd+uDJysQhUiNLnz8fN74A+uf78Bztdaf//cLxFicDO7NjU3+KHQ64WjnUOMS3cNXBbubBX5PzM5l4Y2M6sqm3o89+aWwxgVXDbOv9V8lFJMyEtkSx8ZuO2HW3hzyxG+NHdYdwaqr/MOxuANICM+EqWg7lxDqJKBEyKkuTMH7qNT/q3SWtcMRMOECGb+rJ9VmBpLcUbPOmX+ZLY6ep3MfsHoDBKiwnoMo3Zt9j4h3UhizNlXqfrKhLxE9ta3ccJip81k5bfv7+Zg88mCx1prHnpvN8kx4dzjxYrKwSbcaCAtLrKPIVTJwAkRys4awCml2pRSrb38a1NKtQ5kI4UINs4hR/9lLi4ek8mafc1UNvTc7skfzHYHEb18kEeGGbliQg7v76hzlp1wWVHRSGObmbm5AzNvbEJeEnaHZseRFr79ry38tbyKW55dS0OrCa01/+/tXaysbOL+C0tIOEfZk6EkK+HcuzGYbJKBEyKUnfUnV2sdr7VO6OVfvNY6YSAbKUSwOVvGyle+NHcY0eFGHnpvt9+ucSqz9ewB6XWTc+m02Fm8o677sX9vqCElNoKJ6QOTvZno2sz+h69t44Od9dw6s5Dmdgu3Pbeen725g+dW7eeO2UXcPrtoQNoTCjITos6ZgTNJBk6IkOb2J5BSKkMpVdD1z5+NEiLYOeeM+e+DLzUukq8tGMGSXfVebyPlCYvt7AHptMJkClNjeGxZJScsdo52WFiyq57rJud277rgb5kJkaTHR7K3vp3rJufyi2vG8tSt06hqbOfFNdXcNquQn141JiQ3n/eXrMTIcy5iMEsGToiQ1udPrlLqaldJj/3AR8AB4D0/t0uIoObvIVSAL84ZRk5iFL9+dxcOR99b3vXHueb0GQyKX183nn1NHfzi7Z28sfkwVrvm89Py/NqmUymlKCtNZ1J+Er++bjxKKeaWpPHM7dN58IrR/PzqsRK8nSErIYrjndbuTNuZJAMnRGhz5xPo/wEzgb1a62E4S3ys8murhAhy5nNkrHwlKtzIdy4dybbDLby05oBfr2W2Oc5Zt21OcRpfmT+Cf64/yJ+WVjA+N5FRWQM7k+K3n5vA/746m+iIkwHH/NJ07po3XIK3XmQlOoson20Y9WQGTgI4IUKRO59AVq11M2BQShm01suBwVOyXAgvOOfA+f+D75qJuZSNTOdnb+3kyY+qcJZD9D13MooPLCxlYn4SxzutA5p966KUwjBAQ7aDQbarFtz+po5en+9ehSpDqEKEJHd+co+7Npz/GPiHUupPgK2P1wgxqJlt9gH54DMYFE/dOo2rJ+bw0Hu7/bao4Wx14E4VbjTw+M2Tufv84XxmysAHcMIzUwqSiT+jBMyho53M/91yXt90uHsINUqGUIUISe58Aq0AkoD7gfeBKuAqfzZKiGA3EEOoXSLCDDx6wyRuOi+fv63YR2WDe3uCuktr7VrE0PcHeV5yDD+8fDRxkYNn26nBKjrCyHWTc3l3ex3HOiwAPPlRFdXNnXzvv1vZdPA4Svl+P18hxMBw5xNIAYuBciAOeNU1pCrEkOXPQr69MRgU91/o3B5q8Q7fbnRvsTvnQg1UQCoGzs0zCrDYHPz30xrqW038e0MNV4zPJiU2gqW7G4gKM8r8QSFClDs7Mfxcaz0W5z6kOcBHSqklfm+ZEEFsIFahnikrMYpJ+Umn1WPzha7J7BLADT6jshKYUpDEK+sP8tSKfdi15nuXjuKvt0whwmiQEiJChDBPfnobgDqgGcjwT3OECA0WN+aM+cMlY7PYWtPC4eMnfHZOs1UCuMHspvMK2NfYwQurD3D1xBwKUmOYXJDMIzdM4rZZRYFunhDCS+7UgfuqUqocWAqkAV/WWk/wd8OECGYDPYTa5ZKxmQB84MMs3MkhVJnMPhhdOSGH+Kgw7A7N18pO7hN7xYRsvrWwNIAtE0L0hzszkQuBb2qtN/u7MUKECn9vpXU2w9PjKMmIY/GOOu6cM8wn5+wqJ3GuOnAidEVHGPnOJSNpbDNTkhkf6OYIIXykzwBOa/39gWiIEKFCa43ZZg9YwHPJ2Cz+Wl7J0Q4LKbER/T6fzIEb/GSoVIjBR35jC+Ehm0Pj0IELeC4Zm4VDw5JdvlmN2h3AyYR2IYQIGfIbWwgPncxYBWbO2LjcBDITIllZ0eST81kC3B8hhBCekwBOCA8FegsipRTjc5PYcaTFJ+cz22QOnBBChBr5jS2Eh4JhztjYnAT2NXXQaen/rnZSRkQIIUKP/MYWwkOBHkIFZwCnNeyq7f+2WsHQHyGEEJ6RAE4ID3UNOQY0A5ebCMBOHwyjWuyB748QQgjPyI7U/WB3aD7a28DBFnugmyIGUPeQYwBXbeYkRpEUE87O2tZ+n6urPzIHTgghQof8xu4Hg4L7F22mvKb/85BE6AiGIUelFGNzEthxxAcBXBDM6RNCCOEZ+Y3dD0opxuUkcrDVEeimiAEUDEOoAGOyE9hd14bV3r/3X3d/wmUOnBBChAoJ4PppbE4Ch9oc2Pr5ISpCx8lVm4ENeMbmJGKxOahqbO/XeSySgRNCiJAjv7H7aVxuIlYHVDV2BLopYoB0b/4e4J0LxuYkALDjcP+GUc02B0pBmEH5ollCCCEGgARw/dT1Ibr9sG+KqorgFyxDqMPT44gKN/R7HpzZ5iAyzIBSEsAJIUSokACun4anxxFhgO0+qoovgl+wDKEaDYpRWQnsrO3fe89stQe8L0IIITwjAVw/GQ2KgoT+Z0FE6AimVZtjchLYeaQVrbXX57DYHUHRFyGEEO6T39o+UJBgYOeRVhwO7z9EReg4uWoz8D8+Y3MSaDXZqDl2wutzmK0OqQEnhBAhRn5r+0BhgoF2s43qo52BbooYAN2Fb42B//EZleWcg7mnzvsttbrmwAkhhAgd8lvbBwrjnf8bd8g8uCHBbHNgNCjCgiCAK8mMA2BvQ38COJkDJ4QQoSbwn0CDQG68gXCjYvs5yjlY7Y7uoTfRf50WGw2tpoBc2xnwBMePTkJUONmJUVTUe18LzmxzBMVwsBBCCPfJb20fCDcoSjPjz5qBO2Gxc+3jq7j+yTVS8NdH7ntlE3N/u5yX11b3awK/N4JtyLEkM77fQ6jBMBwshBDCffJb20e69qU8M5jQWvOj17ax40grW2paeHltdYBaOHh8evAYS3c3kBYbwY9f387X/vEpbSbrgF3fbHUE1ZDjyMw4qhrbsXu5iMaZgQue/gghhOibBHA+MqUgmaMdFq78y0peWLWfA00d2OwOXll/kJxJhVAAACAASURBVP9tOsw3LyphXkkaf/xgb8CG/gaLRz7cS0psBIu/dT4/uGwUH+ys5wvPrKOlc2CCOLPNHlRDjiWZ8ZhtDg56uYjGWQcuePojhBCib2GBbsBg8flp+VjsDv614RA/e2snvLWTMINCA/NL0/nGBSVUH+3kkkdW8Ot3d/HojZMD3eSQtOHAUT6uaOIHl40iPiqce+aPoDgjjq/+/VNuenotf79rBimxEX5tQ7ANoZZmxgOwt76NYWmxHr9e6sAJIUTokQDOR4wGxW2zirhtVhG761rZWtPCgaYOzDYHX19QjMGgGJYWyz3zh/OXZZUkxUTw1bIRZCZEBbrpIeWRJXtJi4vg1lmF3Y9dODqTp2+fxt0vbeDmp9fy6j2zSIwO91sbnAFc8Aw5lmS4VqLWtXHJ2CyPXy914IQQIvRIAOcHo7ISuutzneneBcU0tJp5eW01r6w/yH0LirnvwpIBbmFoqmpsZ1VlMz+4bBQxEae/deeXpvPs7dO584X1fPmlDbz0xfOI8tO8rmBahQoQGxlGXnI0exu8W4kabAGpEEKIvgXPp9AQERVu5OHPTWD5t8soK03nDx/uZVuN1I9zR6UrQJk1IrXX5+eWpPGH6yexfv9RHvjXZq8n9ffFbA2+shulmfFU1Hu3EtUSZAGpEEKIvslv7QApSI3hD9dPJDkmnIff3x3o5oSEA00dABSmnn2e19UTc3jwitG8u62Op1bs80s7nHPGgitjVZIZx77GDqxelKmROnBCCBF65Ld2AMVHhXPfBSWsrGzi44rGQDcn6B1o7iQlNqLP+W13zRvO+aXpPLdqPxab7+vuOcuIBNePTmlGPBa7g+rmDo9ep7V2BnBSB04IIUKK/NYOsFtmFpCXHM1D7+3G4achv8GiurmDwtQYt469c04RjW1m3tte6/N2BNscOICRWV0rUT2bB2dxZeykDpwQQoSWgH4KKaWeU0o1KKW2n/JYilLqQ6VUheu/ya7HlVLqz0qpSqXUVqXUlMC13Hciw4x8++JSdhxp5e/rpMjvuRxo6qDoHMOnp5pfks6wtFieX3UAAJPVzrde3cxNT63lDx/sYXVVk9c7OATjpP8R6XEo5Swl4omuDGWwBaRCCCHOLdC/tV8ALj3jse8DS7XWJcBS1/cAlwElrn93A08MUBv97pqJuSwYmc7P39rJ8t0NgW5OUDJZ7RxpMbkdwBkMittnFbL50HE2Vh/j669s4vXNhzl+wsrjyyu5+el1/PC1bYNmzlh0hJGClBh213oWwJklgBNCiJAU0N/aWusVwNEzHr4GeNH19YvAtac8/pJ2WgskKaWyB6al/mUwKB67eQqjs+O595VPZVVqLw65dhkoSnNvCBXgs1PziIsM447n17NkVz2/uHos790/j60/u4SvlY3gn+sPcduz6zneafGoLcG6c8Gs4al8XNGIyWp3+zVdAZzUgRNCiNASjL+1M7XWtQCu/2a4Hs8FDp1yXI3rsUEhNjKM5+6YTnJMBHc8v54dRwIbxA30BvF92e9agepuBg6ci0Q+NzWPNpON+y8s4dZZRQDERYbx3UtH8cfrJ7Kx+hjf/c9Wj9pitgVn4dsrJmTTYbHz0V73F8SYXcFesA0JCyGEODcV6A9qpVQR8LbWepzr++Na66RTnj+mtU5WSr0D/EZrvdL1+FLgu1rrjWec726cQ6xkZmZOXbRokd/70N7eTlxcnE/OVdfh4LefmDhh03xzShQjUwb+g3VjvY3ntpv51dxokiL7DlR82f+zeW+/lVf3WHj8whhiw5XbrzPbNHuO2RmfZkSpnq97aaeZVYdtPH5hDGGGvs/r0JovLu7kuuJwrimOGJC+u8vu0Ny/vJNxaUa+MtG9HT4OtTn48aoT3DspkulZntf1Dqb+B8JQ7v9Q7jtI/6X//un/ggULNmqtp7lzbDDuxFCvlMrWWte6hki7JoXVAPmnHJf3/9u78zCpqnPf49+3R+hBmobuBpqpmRGQFlrEAW0VA2gMJibO04nDjdM5SZ7kmDzJmXKv90lObnKSm5vhmicmx3OSYIwSMZpoFEmOBJV5kqkZlIYGBIQGmq7qqlrnj9pgA930QFXt2l2/z/P0Q9euvavWy67a6+219loL2H36wc65J4EnAWpqalxtbW2SiwuLFi0ike8z47Lj3PWzt/nuiuP86oGLmTqsNGGv3Rnz563kWMtuGvKHcWPtyA73T3T8bfnTh2spKWjg+muv6vKxs87y3LHSBhb+agWlo6qZMrRvh6+1uG4/8Da1NROora5MSexdccOhNbywajfTL5vRqZUoVu88BIsXM7V6ErXjKrr8fukWf6plcvyZHDsofsXvf/zp1w8EC4B7vN/vAV5otf1ubzTqdODwia7WnqaypDfP/o9LyM3O4ncrz8hRk8o5x+K6AwA8u2xn2nSl7jjQ+RGoXXHxiHhyvGTrgU7t//PFO+hXmMfsiV1fczQVrp80iKZwlEWbOteNevIeuGx1oYqIBInf04j8GlgCjDWzejO7D/gmcK2ZbQGu9R4DvAxsA+qAnwIP+1DklOlXlM+o8iK2ftC99S27a/Peo+w/GuLiqlK27T/G0h0fdun4aMzx88Xb2X80lNBy7djfxPBOzgHXFf2L8hlTUcRb2zpO4HYebOL1jXu5/eKhaXvP2PQRpZQW5vHS2s79bROKePfApdmoWhEROTu/R6He5pwb6JzLdc4Nds79zDl3wDl3jXNutPfvQW9f55x7xDk30jk3yTm3zM+yp8LIsvjySKn0Zt1+AJ745ESK8nN4ZunODo441XMr6vmXF9/l6b/uSFiZQpEouw8fZ3j/xLfAQXz05rIdH3Y4pcjTS3aQbcYdFw9LSjkSISc7i9kTB/D6hr0cD3c8GlXzwImIBJOu2mlsRFkhexqbORqKpOw9/1q3n6r+hYwqL+aGyQN5eW0DR5pbOnXs8XCU7766GYDXEzif3c6DTTjXtRGoXXHJyH4cb4mypv5Qu/s0hSM8s3QnsycOYECfzg0Q8Mv1kwbSFI7y580dn4OP5oFLzxZFERFpmxK4NDayLD7CZVuKulFbojHe2naAS0f2A+DmmiEcb4ny4urOdcc9tXg7exqbmTm+nPW7G9lzuDkh5dqxPz4HXGeX0eqqaVXxeN/advqUhB+Zv3IXjc0R7r10eFLKkEgXV5VSUpDLq+v3drjviS7UdJwWRURE2qerdhobVR5vcUrVfXBr6g9xLBzl8lH9AageUsK4AcU8vWRHh4MZDh4L85NFW5k5vpy/nz0OgIUJaoXb4S3QXpWkLtTSwjzGDSg+631wv1lWz7gBxUwd1vFIVb/lZGdxzbgKXtuwt8Nu4VCLulBFRIJIV+00NrS0kOwsY+u+1NwH9+aWA5jFuxQBzIz7Z4xg454jp0wOG4nGiMU+SuiiMcc/LVjPsXCEx2ePY3R5EZUlvROawPXpnUtJQV5CXq8t07374E7cE9ba1g+OsnrnIW6aMrjNueTS0ccmVNDYHOHts7QqQqvF7JXAiYgEiq7aaSwvJ4uhpQUpa4FbvHU/Ewf1OSVR+sTkQQw4rxf//8/bgPh9bjf9ZAkz/vUN/rhuD8fDUf7fqhAvrt7NF68dw+iKYsyMa8aXs7huf5eWdWpLSzTGkq0HGFWe3AkjT9wHt/L9M0fd/m7lLrIM5lYPSmoZEumK0WX0ys3i1Xf3nHW/ky1wnZgzTkRE0ocSuDQ3sqwwZSNR1+06fEYXYV5OFp+9fDhLth1gTf0hHn9uDWvqD5GXk8Xn/nM5l39rIav2RfnG3Ak8evXok8ddPa6c4y1RlnRieo6zeXrJe2z94Bifu7LjCYXPxWWj+pOXk8Uf15+a8MRijudX7OKyUf0pPy+9By+01jsvmyvHlPHq+r2ntJae7uQ9cNm6FIiIBImu2mluZFkR2/cfI3qWSjhRmluiFPc6c3GO26YNpTg/hweeXsaC1bv50sfG8uoXruAfP34+fXrn8lB1Pnd764yeMH1EP3rnZvPGOXSj7jvSzPf+tJnasWXMHF/e8QHnoCg/hyvHlPGHtXtOSXiW7jjIrkPH+dSU4C27O2vCAPY0NrNmV/vr6oYiMcwgNzsYXcMiIhKnBC7NjSwrIhyNUf9hU1LfJxKNEXNtt8QU98rl9ulD2dsY4rpJA3i4diS52Vl89vIqFn6plmltrKHZKzeby0b155X1e2gKd28alG/9YROhSIx/umFCSu49u37SQPY0NrNy50fdqPNX7qIgL5tZE9Jz5YWzuXpcOdlZxivr2+9GDUdi5OdkBebePhERiVMCl+ZGpmgk6sklldq5mf2Rq0bxDx8/n29/enKnK/v7Z1Sx70iIf3xhfZfL8+aW/Ty3op77ZlQlbfTp6a4ZX05eThYvrYknPMdCEV5a28DsCQMoyEvHZYPPrqQgj0tG9OPltQ3tjiIORWKaA05EJICUwKW5Ef3jN+8neyRquIME7rxeudx3eRWF+Z1PZKaP6MdjV43it8vrmb+yvtPH7TzYxKO/XsGYiiIeu3pUp487V8W9crlidBl/WNdALOb46vNrORaKcOcl6bvyQkduvLCS9w40sfy9tpdEC0WimgNORCSAdOVOc30L8ygtzGPb/uS2wJ2YTiLRlfnfXjOaacNL+fr8dSzatI9IB/OSNYUjPPD0MmIxx0/vrkl5y9f1Fwyg4XAzjz+3hgWrd/OFmWOYMjT9535rz5yJAyjIy+bZZW0n0KGWmKYQEREJIF25A2BkWWHKWuAS3Z2Wk53F92+rpiA/h3t/vpRp//t1vvHiuydHP57u6/PXsXnvEX5w+xSGJWnprLO5ZnwFedlZPLu8ntqxZTxyVepaAJOhMD+H6ycN5KW1DW3eixiKKoETEQkiXbkDYGRZke/3wJ2LgX1685cvX8WP75jCJSP78dTi7Tz0nyvOSOJWvP8hz6/cxcO1o7hyTFnCy9EZ5/XK5drzK6gs6c2/3VxNVlbwb+7/9NTBHA1F+OO6MwczxFvgdA+ciEjQKIELgFHlRRw4Fqbh8PGkvUey5wPrnZfNnEkD+eHtU/hfN05k4cZ9pyRxzjm++fJG+hfl8VBtcud868h3bp7MK1+4gr6FyVv5IZWmVZUytLSA3y4/sxtV98CJiASTrtwBcIXXGvX6hsQsTdWWj7pQk/+RuHP6sJNJ3F0/e4cPjoRYuHEf7+w4yN9dM7pLAyWSoVduNkU+lyGRzIxPTx3MX7ceYOfBU6ejCUXUhSoiEkS6cgfA6PIihpYW8PqGvUl7j45GoSbandOH8b1bqllTf4iP/+C/+J+/f5eq/oXcOm1oSt4/09w0dTD5OVk8/MsVNDa3nNwejsS0jJaISAApgQsAM2Pm+AoWbz3Q7UlxO+LHouY3XljJcw9dSl5OFjsONPHlWWPJ1ZJOSVFZ0psf3zmFDQ2N3P+LZRwPx7uu1QInIhJMunIHxMzx5YQjMf5ry/6kvH6qW+BOmDCoD79/dAZP3VvDnInBW+0gSK4eV8G/3VLN0vcO8vlnVgK6B05EJKh05Q6Ii6pKKe6Vw2vvJqcbNZmjUDvSpyCXq8dVaDmnFLhh8iC+OHMMr6zfy6Y9RzQPnIhIQOnKHRC52VnUji1n4cZ9SVnY/mQLnLowe7w7pw8jLzuLX739HuGophEREQki1dYBMnN8OQeOhVm181DCX9uvLlRJvb6FecyZNIDnV+7iaHNELXAiIgGkK3eA1I4pJyfLWLgx8d2ooWhyVmKQ9HT7tKEcaY5wvCWqBE5EJIB05Q6QPgW5jB1QzLpdjQl/7VCLN5GvKvOMMK2qlFHlRUBqRx6LiEhi6ModMKPKi6jbl/hltfyYRkT8Y2bc5s25p3ngRESCR7V1wIwuL2LXoeMcCyV2PjgNYsg8N02ppKw4n2H9CvwuioiIdFHPWS8oQ4wqLwZg6wdHuWBwScJeNxyJkZNlPWLxdumckoI83v7qNTrnIiIBpOaWgDlx39KWvYntRg1rRv6MpORNRCSYVGMHzLB+BeRmG1sSfB9cKBLTAAYREZGAUI0dMLnZWVT1L0z4QIawEjgREZHAUI0dQPGRqEcS+prhqBI4ERGRoFCNHUCjyot5/2ATzd7cbYkQjsQ0AlVERCQgVGMH0OjyImIOtn1wLGGvGYpoTUwREZGgUAIXQCdGotZ9kLj74EKRqLpQRUREAkI1dgBV9S8ky6Bub+Lug9MgBhERkeBQjR1AvXKzGdavMKFTiYSjmgdOREQkKFRjB9TIssSuiapBDCIiIsGhGjugRlcUsX3/MVq8RejPVTgSIz9XHwcREZEgUI0dUKPLi4jEXMJGoobUAiciIhIYqrED6sRC9qt3HkrI62kQg4iISHCoxg6oEf0LKe6Vw8pEJXBaiUFERCQwVGMHVFaWUT2khFWJbIHL1kS+IiIiQaAELsCqh5SwaU8jTeHIOb+WBjGIiIgEh2rsAKseUkLMwdr6w+f0OrGYi3ehahCDiIhIIKjGDrDqIfGBDOfajRr2piLRPXAiIiLBELga28xmm9kmM6szs6/4XR4/9SvKZ2hpQcISOK3EICIiEgyBqrHNLBv4ITAHOB+4zczO97dU/krEQIZwRC1wIiIiQRK0GnsaUOec2+acCwPzgLk+l8lX1UNKaDjczN7G5m6/RiiiFjgREZEgCVqNXQnsbPW43tuWsaqHxu+DW/l+91vh1AInIiISLOac87sMnWZmnwFmOefu9x7fBUxzzj3Wap8HgQcBKioqps6bNy/p5Tp69ChFRUVJf5+2hKOOh15rYtbwXG4em9et16g/EuPri4/zcHU+0wbkdPl4P+P3WybHDoo/k+PP5NhB8Sv+5MR/1VVXLXfO1XRm367X1v6qB4a0ejwY2N16B+fck8CTADU1Na62tjbphVq0aBGpeJ/2XLj5r2w51sKVV16BmXX5+LX1h2Hxm1x4wSRqz6/o8vF+x++nTI4dFH8mx5/JsYPiV/z+xx+0PrOlwGgzqzKzPOBWYIHPZfLdrdOGsmXfURbXHejW8eFoFFAXqoiISFAEqsZ2zkWAR4FXgA3Ab5xz6/0tlf9umDyQ/kV5PLV4e7eOD7VoEIOIiEiQBK7Gds697Jwb45wb6Zx7wu/ypIP8nGzuuHgYCzfuY/v+Y10+PqSJfEVERAJFNXYPccf0oeRlZ/GLbrTCnRyFqqW0REREAkE1dg9RXtyLGyYP4tnl9Rw+3tKlY8OaB05ERCRQVGP3IH9z2XCawlFeWLWrS8dpHjgREZFgUY3dg0ys7MOEQefxzNKdHe/cykcrMWQno1giIiKSYErgephbLhrC+t2NrNt1uNPHhCOaRkRERCRIVGP3MHMnV5KXk8VvlnW+FS6sUagiIiKBohq7h+lTkMuciQP43cpdNLdEO3WMRqGKiIgEi2rsHuiWmiE0Nkd4Zf2eTu1/IoHLze76MlwiIiKSekrgeqDpI/oxpLQ3897pXDdqKBIjPyerW+uoioiISOopgeuBsrKMWy8aypJtB6jbd7TD/UORmO5/ExERCRDV2j3ULRcNITfb+OXb73W4bzga0yS+IiIiAaJau4fqX5TPnIkD+e3yeprCkbPuG47ENIBBREQkQFRr92B3XTKMI80RXly9+6z7hdWFKiIiEiiqtXuwmmF9GVtRzH+89R7OuXb3C0WiWoVBREQkQJTA9WBmxp2XDGPdrkZW7jzU7n5qgRMREQkW1do93CcvrKRP71x+9EZdu/uEo0rgREREgkS1dg9XlJ/DAzOqeG3DPtbWt70+qgYxiIiIBItq7Qxwz6XD6dM7l++/vrnN5zUPnIiISLCo1s4Axb1yuf/yeCvcul1ntsKFI5oHTkREJEhUa2eIey6Lt8J977UtZzynQQwiIiLBolo7Q5zXK5fPTB3MnzfvIxSJnvKculBFRESCRbV2Bpk6rC8tUceGhiOnbNdSWiIiIsGiWjuDXDCkBIA19afOCRdqiWoUqoiISICo1s4gg/r0on9RPqtOm9Q3HI2Rn6uVGERERIJCCVwGMTOqh/Rh9ekJnOaBExERCRTV2hnmgsElbNt/jMbmFgAi0RgxhwYxiIiIBIhq7QwzeUgJzsE6b1WGcDQGKIETEREJEtXaGeaCyj4ArPYSuFCLl8CpC1VERCQwVGtnmL6FeQzrV3DyPrgTLXD5ufooiIiIBIVq7Qw0eXAJq72pRMIRtcCJiIgEjWrtDHTB4D40HG5mX2MzoYjugRMREQka1doZqNqb0Hd1/eGTLXBaiUFERCQ4VGtnoAmD+pCTZax4/8OT66Lm52giXxERkaBQApeBeudlM7GyD8t2HPzoHji1wImIiASGau0MNa2qlNU7D3M0FAGUwImIiASJau0MVTOsL+FojKU7PgQ0ClVERCRIVGtnqIuGlwLwZt0HgFrgREREgkS1dobqW5jH6PIi1u9uBDQKVUREJEhUa2ewi6pKcS7+u1rgREREgkO1dgab5nWjghI4ERGRIFGtncEuqvoogcvP1jxwIiIiQaEELoNVlvSmsqQ3oBY4ERGRIFGtneEuGt4XUAInIiISJDl+F0D8de9lVVT27U12lvldFBEREekkX5pdzOwzZrbezGJmVnPac181szoz22Rms1ptn+1tqzOzr6S+1D1T9ZASvjxrnN/FEBERkS7wq99sHfAp4C+tN5rZ+cCtwARgNvAjM8s2s2zgh8Ac4HzgNm9fERERkYzjSxeqc24DgNkZ3XZzgXnOuRCw3czqgGnec3XOuW3ecfO8fd9NTYlFRERE0ke63bleCexs9bje29bedhEREZGMk7QWODN7DRjQxlNfc8690N5hbWxztJ1ounbe90HgQYCKigoWLVrUcWHP0dGjR1PyPukqk+PP5NhB8Wdy/JkcOyh+xe9//ElL4JxzM7txWD0wpNXjwcBu7/f2tp/+vk8CTwLU1NS42trabhSjaxYtWkQq3iddZXL8mRw7KP5Mjj+TYwfFr/j9jz/dulAXALeaWb6ZVQGjgXeApcBoM6syszziAx0W+FhOEREREd/4MojBzD4J/AAoA14ys1XOuVnOufVm9hvigxMiwCPOuah3zKPAK0A28JRzbr0fZRcRERHxm1+jUOcD89t57gngiTa2vwy8nOSiiYiIiKS9dOtCFREREZEOKIETERERCRglcCIiIiIBowROREREJGCUwImIiIgEjDnX5oIGPYKZfQC8l4K36g/sT8H7pKtMjj+TYwfFn8nxZ3LsoPgVf3LiH+acK+vMjj06gUsVM1vmnKvxuxx+yeT4Mzl2UPyZHH8mxw6KX/H7H7+6UEVEREQCRgmciIiISMAogUuMJ/0ugM8yOf5Mjh0UfybHn8mxg+JX/D7TPXAiIiIiAaMWOBEREZGAUQJ3DsxstpltMrM6M/uK3+VJNjMbYmZvmNkGM1tvZn/nbf9nM9tlZqu8n+v8LmuymNkOM1vrxbnM21ZqZn8ysy3ev339LmeimdnYVud3lZk1mtnne/K5N7OnzGyfma1rta3Nc21x/9e7Fqwxsyn+lTwx2on/22a20YtxvpmVeNuHm9nxVp+Dn/hX8sRoJ/52P+9m9lXv/G8ys1n+lDox2on9mVZx7zCzVd72nnju26vr0ur7ry7UbjKzbGAzcC1QDywFbnPOvetrwZLIzAYCA51zK8ysGFgO3AjcDBx1zv0fXwuYAma2A6hxzu1vte1fgYPOuW96iXxf59zjfpUx2bzP/i7gYuBv6KHn3syuAI4CTzvnJnrb2jzXXkX+GHAd8f+X7zvnLvar7InQTvwfAxY65yJm9i0AL/7hwO9P7NcTtBP/P9PG593Mzgd+DUwDBgGvAWOcc9GUFjpB2or9tOe/Axx2zn2jh5779uq6e0mj779a4LpvGlDnnNvmnAsD84C5PpcpqZxzDc65Fd7vR4ANQKW/pUoLc4F/937/d+Jf9J7sGmCrcy4Vk2T7xjn3F+DgaZvbO9dziVd2zjn3FlDiVQKB1Vb8zrlXnXMR7+FbwOCUFyxF2jn/7ZkLzHPOhZxz24E64nVEIJ0tdjMz4n+0/zqlhUqhs9R1afX9VwLXfZXAzlaP68mgZMb7q+tC4G1v06Ne0/FTPbELsRUHvGpmy83sQW9bhXOuAeJffKDct9Klxq2cevHOlHMP7Z/rTLwefBb4Q6vHVWa20sz+bGYz/CpUCrT1ec+k8z8D2Ouc29JqW48996fVdWn1/VcC133WxraM6I82syLgOeDzzrlG4MfASKAaaAC+42Pxku0y59wUYA7wiNfVkDHMLA/4BPCstymTzv3ZZNT1wMy+BkSAX3qbGoChzrkLgS8CvzKz8/wqXxK193nPpPN/G6f+Addjz30bdV27u7axLennXwlc99UDQ1o9Hgzs9qksKWNmucQ/0L90zj0P4Jzb65yLOudiwE8JcNdBR5xzu71/9wHzice690RzuffvPv9KmHRzgBXOub2QWefe0965zpjrgZndA3wcuMN5N1F7XYcHvN+XA1uBMf6VMjnO8nnPiPNvZjnAp4BnTmzrqee+rbqONPv+K4HrvqXAaDOr8lolbgUW+FympPLuffgZsME5991W21v39X8SWHf6sT2BmRV6N7RiZoXAx4jHugC4x9vtHuAFf0qYEqf89Z0p576V9s71AuBubzTadOI3eDf4UcBkMrPZwOPAJ5xzTa22l3mDWzCzEcBoYJs/pUyes3zeFwC3mlm+mVURj/+dVJcvBWYCG51z9Sc29MRz315dR7p9/51z+unmD/ERJ5uJ/8XxNb/Lk4J4LyfeLLwGWOX9XAf8B7DW276A+Ogd38ubhPhHAKu9n/UnzjnQD3gd2OL9W+p3WZMUfwFwAOjTaluPPffEE9UGoIX4X9j3tXeuiXeh/NC7FqwlPlLZ9xiSEH8d8Xt9Tnz/f+Lte5P3nVgNrABu8Lv8SYq/3c878DXv/G8C5vhd/kTH7m3/BfC50/btiee+vbourb7/mkZEREREf2baxgAAAYpJREFUJGDUhSoiIiISMErgRERERAJGCZyIiIhIwCiBExEREQkYJXAiIiIiAaMETkQEMLMSM3vY+32Qmf3W7zKJiLRH04iIiHByzcPfO+cm+lwUEZEO5fhdABGRNPFNYKSZrSI+Ued459xEM7sXuBHIBiYSX/8yD7gLCAHXOecOmtlI4pN5lgFNwAPOuY2pD0NEMoG6UEVE4r4CbHXOVQNfPu25icDtxNe+fAJocvHFu5cAd3v7PAk85pybCnwJ+FFKSi0iGUktcCIiHXvDOXcEOGJmh4EXve1rgQvMrAi4FHg2vowiAPmpL6aIZAolcCIiHQu1+j3W6nGM+HU0Czjktd6JiCSdulBFROKOAMXdOdA51whsN7PPAFjc5EQWTkSkNSVwIiKAc+4AsNjM1gHf7sZL3AHcZ2argfXA3ESWT0SkNU0jIiIiIhIwaoETERERCRglcCIiIiIBowROREREJGCUwImIiIgEjBI4ERERkYBRAiciIiISMErgRERERAJGCZyIiIhIwPw3AytG3RnJV60AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "series = autocorrelation(time, 10) + seasonality(time, period=50, amplitude=150) + trend(time, 2)\n",
    "plot_series(time[:200], series[:200])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "XoRqB8AK0Sfz"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "series = autocorrelation(time, 10) + seasonality(time, period=50, amplitude=150) + trend(time, 2)\n",
    "series2 = autocorrelation(time, 5) + seasonality(time, period=50, amplitude=2) + trend(time, -1) + 550\n",
    "series[200:] = series2[200:]\n",
    "#series += noise(time, 30)\n",
    "plot_series(time[:300], series[:300])"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "collapsed_sections": [],
   "name": "S+P Week 1 - Lesson 1 - Notebook.ipynb",
   "provenance": [],
   "toc_visible": true,
   "version": "0.3.2"
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
